PSLE A fruit stall sold coconuts at 90¢ and dates at 60¢ each. Opal bought some coconuts and Kathy bought some dates from the stall. Opal spent $1.20 more than Kathy, but had 3 fruits fewer than Kathy.
- How many coconuts did Opal buy?
- How much did Kathy spend on the dates?
|
Coconuts |
Dates |
Number |
1 u |
1 u + 3 |
Value |
0.9 |
0.6 |
Total value |
0.9 u |
0.6 u + 1.8 |
(a)
Number of coconuts that Opal bought = 1 u
Number of dates that Kathy bought = 1 u + 3
Amount that Opal paid = 0.9 x 1 u = 0.9 u
Amount that Kathy paid = 0.6(1 u + 3) = 0.6 u + 1.8
If Kathy spent another $1.20, both Kathy and Opal would spend the same amount.
0.9 u = 0.6 u + 1.8 + 1.2
0.9 u - 0.6 u = 1.8 + 1.2
0.3 u = 3
1 u = 3 ÷ 0.3 = 10
Number of coconuts that Opal bought
= 1 u
= 10
(b)
Amount that Kathy spent on the dates
= 0.6 u + 1.8
= 0.6 x 10 + 1.8
= 6 + 1.8
= $7.80
Answer(s): (a) 10; (b) $7.80